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Finding the Fourth Proportional to 84,004.83, 115,971.17 and 64,843.38

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Solution

The fourth proportional to 84,004.83, 115,971.17 and 64,843.38 is: 89,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,004.83 : 115,971.17 = 64,843.38 : x
  2. Step 2: Convert to fraction form
    84,004.83/115,971.17 = 64,843.38/x
  3. Step 3: Cross multiply
    84,004.83x = 115,971.17 × 64,843.38
  4. Step 4: Simplify right side
    84,004.83x = 7,519,962,321.14
  5. Step 5: Solve for x
    x = 7,519,962,321.14/84,004.83
  6. Step 6: Final answer
    x = 89,518.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.